Trigonometric Ratios in Right Triangles

Finding Sides of Right Triangles using Trig Ratios

Ms Caesar

Multiple Choice

Cosine ratio represent

• Opp/Hyp

• Adj/Hyp

• Opp/Adj

• Adj/Opp

Multiple Choice

Tangent ratio represent

• Opp/Hyp
• Adj/Hyp
• Opp/Adj
• Adj/Opp

Multiple Choice

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine
• cosine
• tangent
• cotangent

Multiple Choice

From the perspective of angle  $$\theta$$ , which trig ratio would correctly compare the 2 sides identified with stars?

• Sin

• Cos

• Tan

Multiple Choice

From the perspective of angle thetaθ , which trig ratio would correctly compare the 2 sides identified with stars?

• Sin

• Cos

• Tan

Multiple Choice

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

Multiple Choice

From the perspective of angle thetaθ , which trig ratio would correctly compare the 2 sides identified with stars?

• Sin

• Cos

• Tan

Multiple Choice

Which equation is true?

• sin (x) = 14/29

• cos (x) = 14/29

• tan (x) = 14/29

• tan (x) = 29/14

Multiple Choice

Which equation is true?

• sin (x) = 11/27

• sin (x) = 27/11

• cos (x) = 11/27

• tan (x) = 11/27

Multiple Choice

Complete the statement: Sin X = ____

• cos x

• Cos Z

• Tan X

• Sin Z

Multiple Choice

Complete the statement: Cos Z = _____

• Cos X

• Sin X

• Tan X

• Tan Z

Multiple Choice

In ∆ABC, the complement of ∠B is ∠A. Which statement is always true?

• tan∠A = tan∠B

• sin∠A = sin∠B

• cos∠A = tan∠B

• sin∠A = cos∠B

Multiple Choice

If sin x = cos y, what must be true about x and y?

• x + y = 90⁰
• x = y 
• x = 2y
• x + y = 180⁰

Multiple Choice

What is the correct ratio?

• sin 40 = w/28
• cos 40 = w/28
• tan 40 = w/28
• sin 40 = 28/w

Multiple Choice

Which is the correct set up to solve for x?

• sin 24 = x / 12
• cos 24 = x / 12
• tan 24 = x / 12

Multiple Choice

Which is the correct set up to solve for x?

• sin 72 = 6 / x
• cos 72 = 6 / x
• tan 72 = 6 / x

Multiple Choice

Which is the correct set up to solve for x?

• sin 51 = 14 / x
• cos 51 = x / 14
• sin 51 = x / 14
• cos 51 = 14 / x

Multiple Choice

Which is the correct set up to solve for x?

• sin 24 = x / 12
• cos 24 = x / 12
• tan 24 = x / 12

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​Make sure your calculator is in degrees

​Solving for a missing side length...examples to copy down on back of foldable

​solve for x (numerator)

​​solve for x (denominator)

​completed notes on next slide

​Foldable Notes...write each formula on the right side of your foldable

​ sin

​ cos

​tan

Multiple Choice

Find the missing side.

• 13.3

• 31.3

• 14.4

• 7.5

Multiple Choice

Solve for x. Round to the nearest tenth.

• 74.9
• 3.6
• 63.5
• 54.1

Multiple Choice

solve for x

• 20
• 5.9
• 33
• 42

Multiple Choice

solve for K

• 27.1
• 74.8
• 35.9
• 56.3

Multiple Choice

Solve for x. Round to the nearest tenth.

• 11.1
• 9.3
• 13.0
• 5.5

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